perf: post-multiply attention scale in float instead of pre-scaling Q in bf16
- Replace bf16 pre-scale Q loading with direct 32-bit aligned bf16x2 reads - Apply scale in float32 after Q@K^T, before online softmax - Reduces causal max error from 2^-6 to 2^-8 with zero perf cost
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@ -49,7 +49,6 @@ __global__ void attn_decode_split_kv_mma_kernel(AttentionParams p) {
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__shared__ __align__(16) bf16 sV[BC * HEAD_DIM];
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__shared__ __align__(16) bf16 sV[BC * HEAD_DIM];
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__shared__ __align__(16) bf16 sQ[BR * HEAD_DIM];
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__shared__ __align__(16) bf16 sQ[BR * HEAD_DIM];
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bf16 scale_bf16 = __float2bfloat16(p.scale);
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for (int i = lane; i < BR * HEAD_DIM; i += 32) {
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for (int i = lane; i < BR * HEAD_DIM; i += 32) {
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int r = i / HEAD_DIM, d = i % HEAD_DIM;
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int r = i / HEAD_DIM, d = i % HEAD_DIM;
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bf16 val = __float2bfloat16(0.0f);
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bf16 val = __float2bfloat16(0.0f);
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@ -57,7 +56,7 @@ __global__ void attn_decode_split_kv_mma_kernel(AttentionParams p) {
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int qh = q_head0 + r;
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int qh = q_head0 + r;
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val = p.q[(batch * p.q_head + qh) * HEAD_DIM + d];
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val = p.q[(batch * p.q_head + qh) * HEAD_DIM + d];
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}
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}
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sQ[r * LD + swiz_col(d, r, SWIZ_MASK)] = __hmul(val, scale_bf16);
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sQ[r * LD + swiz_col(d, r, SWIZ_MASK)] = val;
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}
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}
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__syncwarp();
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__syncwarp();
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@ -116,6 +115,11 @@ __global__ void attn_decode_split_kv_mma_kernel(AttentionParams p) {
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float Sacc[NC8][4];
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float Sacc[NC8][4];
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mma_compute_scores<KD, NC8>(Qa, sK, LD, SWIZ_MASK, lane, Sacc);
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mma_compute_scores<KD, NC8>(Qa, sK, LD, SWIZ_MASK, lane, Sacc);
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#pragma unroll
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for (int n8 = 0; n8 < NC8; n8++)
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Sacc[n8][0] *= p.scale, Sacc[n8][1] *= p.scale,
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Sacc[n8][2] *= p.scale, Sacc[n8][3] *= p.scale;
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int maxc = p.is_causal ? min(p.kv_len, p.causal_offset + 1) : p.kv_len;
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int maxc = p.is_causal ? min(p.kv_len, p.causal_offset + 1) : p.kv_len;
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mma_softmax_tile<NC8, DN8>(kv0, maxc, maxc,
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mma_softmax_tile<NC8, DN8>(kv0, maxc, maxc,
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mask_base, p.mask, has_mask,
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mask_base, p.mask, has_mask,
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@ -81,16 +81,14 @@ void attn_prefill_split_q_mma_kernel(AttentionParams p) {
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#pragma unroll
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#pragma unroll
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for (int kt = 0; kt < KD; kt++) {
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for (int kt = 0; kt < KD; kt++) {
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int c = kt * 16 + tid4 * 2;
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int c = kt * 16 + tid4 * 2;
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const bf16* pa = &p.q[q_base + qra * HEAD_DIM + c];
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const unsigned* pau = reinterpret_cast<const unsigned*>(
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const bf16* pb = &p.q[q_base + qrb * HEAD_DIM + c];
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&p.q[q_base + qra * HEAD_DIM + c]);
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Qa[kt][0] = va ? pk2(__bfloat162float(pa[0]) * p.scale,
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const unsigned* pbu = reinterpret_cast<const unsigned*>(
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__bfloat162float(pa[1]) * p.scale) : 0u;
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&p.q[q_base + qrb * HEAD_DIM + c]);
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Qa[kt][1] = vb ? pk2(__bfloat162float(pb[0]) * p.scale,
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Qa[kt][0] = va ? pau[0] : 0u;
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__bfloat162float(pb[1]) * p.scale) : 0u;
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Qa[kt][1] = vb ? pbu[0] : 0u;
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Qa[kt][2] = va ? pk2(__bfloat162float(pa[8]) * p.scale,
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Qa[kt][2] = va ? pau[4] : 0u;
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__bfloat162float(pa[9]) * p.scale) : 0u;
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Qa[kt][3] = vb ? pbu[4] : 0u;
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Qa[kt][3] = vb ? pk2(__bfloat162float(pb[8]) * p.scale,
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__bfloat162float(pb[9]) * p.scale) : 0u;
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}
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}
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float Oacc[DN8][4];
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float Oacc[DN8][4];
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@ -163,10 +161,16 @@ void attn_prefill_split_q_mma_kernel(AttentionParams p) {
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// Warp-level causal skip
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// Warp-level causal skip
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if (!use_skip || kv0 <= max_kv) {
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if (!use_skip || kv0 <= max_kv) {
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// S = Q @ K^T + online softmax + O += P @ V (shared MMA functions)
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// S = Q @ K^T + scale + online softmax + O += P @ V
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float Sacc[NC8][4];
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float Sacc[NC8][4];
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mma_compute_scores<KD, NC8>(Qa, bK, LD, SWIZ_MASK, lane, Sacc);
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mma_compute_scores<KD, NC8>(Qa, bK, LD, SWIZ_MASK, lane, Sacc);
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// post-multiply scale in float (no bf16 precision loss from pre-scaling Q)
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#pragma unroll
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for (int n8 = 0; n8 < NC8; n8++)
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Sacc[n8][0] *= p.scale, Sacc[n8][1] *= p.scale,
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Sacc[n8][2] *= p.scale, Sacc[n8][3] *= p.scale;
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int maxc0 = p.is_causal ? min(p.kv_len, qr0 + p.causal_offset + 1)
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int maxc0 = p.is_causal ? min(p.kv_len, qr0 + p.causal_offset + 1)
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: p.kv_len;
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: p.kv_len;
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int maxc1 = p.is_causal ? min(p.kv_len, qr1 + p.causal_offset + 1)
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int maxc1 = p.is_causal ? min(p.kv_len, qr1 + p.causal_offset + 1)
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